75905352 has 48 divisors (see below), whose sum is σ = 211140540. Its totient is φ = 24617088.

The previous prime is 75905339. The next prime is 75905353. The reversal of 75905352 is 25350957.

It can be written as a sum of positive squares in 2 ways, for example, as 71470116 + 4435236 = 8454^2 + 2106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75905353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11583 + ... + 16910.

Almost surely, 2^75905352 is an apocalyptic number.

75905352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75905352 is an abundant number, since it is smaller than the sum of its proper divisors (135235188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75905352 is a wasteful number, since it uses less digits than its factorization.

75905352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28542 (or 28535 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 75905352 is about 8712.3677608329. The cubic root of 75905352 is about 423.4064466827.

The spelling of 75905352 in words is "seventy-five million, nine hundred five thousand, three hundred fifty-two".